Instructional Video11:01
Brian McLogan

Learn how to use the formula for vertex and axis of symmetry to graph a parabola

12th - Higher Ed
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Instructional Video5:24
Brian McLogan

Label the transformations of the natural logarithmic function, domain and range

12th - Higher Ed
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Instructional Video3:25
Brian McLogan

How to find the domain of a radical function

12th - Higher Ed
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Instructional Video3:18
Brian McLogan

Domain of a simple rational function in interval and set notation

12th - Higher Ed
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Instructional Video6:49
Brian McLogan

How to determine if 3 graphs represent a function and determine domain range

12th - Higher Ed
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a...
Instructional Video5:13
Brian McLogan

Learn how to analyze the characteristics of a polynomial graph

12th - Higher Ed
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Instructional Video4:06
Brian McLogan

How to write the domain of a rational function

12th - Higher Ed
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Instructional Video6:01
Brian McLogan

Identify the transformations, domain and range of the reciprocal function

12th - Higher Ed
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Instructional Video1:25
Brian McLogan

Add two functions and determine the domain

12th - Higher Ed
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Instructional Video5:33
Brian McLogan

Evaluate all the limits from a given graph

12th - Higher Ed
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Instructional Video5:31
Brian McLogan

What are the important things to know about the graph of a function

12th - Higher Ed
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Instructional Video18:58
Brian McLogan

Analyze the characteristics of multiple functions

12th - Higher Ed
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Instructional Video8:41
Brian McLogan

Learn how to add two functions rational

12th - Higher Ed
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Instructional Video2:55
Brian McLogan

What is the definition of range of a relation

12th - Higher Ed
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Instructional Video3:49
Brian McLogan

Learn the Steps to Graph Piecewise Functions

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video3:09
Brian McLogan

Identify the transformations domain and range, absolute value function

12th - Higher Ed
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Instructional Video4:28
Brian McLogan

What is relative minimum and maximmum of a quadratic

12th - Higher Ed
👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Instructional Video5:32
Brian McLogan

Graphing exponential growth functions

12th - Higher Ed
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Instructional Video7:21
Brian McLogan

The best explanation of domain and range with multiple examples

12th - Higher Ed
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Instructional Video5:23
Brian McLogan

What is the domain and range of a quadratic graph

12th - Higher Ed
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Instructional Video5:09
Brian McLogan

How to write the domain of a radical function

12th - Higher Ed
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Instructional Video4:52
Brian McLogan

How to Graph a Piecewise Function With Three Equations

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function that has more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video3:49
Brian McLogan

Label the transformations domain and range from exponential function

12th - Higher Ed
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Instructional Video5:40
Brian McLogan

How do the logarithmic and exponential parent graphs compare

12th - Higher Ed
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...